Motivated by the recent experimental realizations of hyperbolic lattices in circuit quantum
electrodynamics and the research interest in the non-Euclidean generalization of topological …

The discovery of the Hat, an aperiodic monotile, has revealed novel mathematical aspects of
aperiodic tilings. However, the physics of particles propagating in such a setting remains …

The electron states in the quasicrystal (QC) are hot topics recently. While previous attentions
were focused on such intrinsic QCs as the Penrose lattice, the recent “twistronics” provides …

Three-dimensional higher-order topological semimetals in crystalline systems exhibit higher-
order Fermi arcs on one-dimensional hinges, challenging the conventional bulk-boundary …

The disorder effects on higher-order topological phases in periodic systems have attracted
much attention. However, in aperiodic systems, such as quasicrystalline systems, the …

We propose a general mechanism to realize nematic superconductivity (SC) and reveal its
exotic vestigial phases in the quasicrystal (QC). Starting from a Penrose-Hubbard model, our …

We study the transition between the two-dimensional topological insulator (TI) featuring
quantized edge conductance and the trivial Anderson insulator induced by strong disorder …

The concrete realization of topological quantum computing using low-dimensional
quasiparticles, known as anyons, remains one of the important challenges of quantum …

Recently, structural disorder-induced topological phase transitions in periodic systems have
attracted much attention. However, in aperiodic systems such as quasicrystalline systems …

Motivated by topological equivalence between an extended Haldane model and a chiral-π-
flux model on a square lattice, we apply π-flux models to two-dimensional bipartite …